An energy company wants to choose between two regions in a state to install energy-producing wind turbines. A researcher claims that the wind speed in Region A is less than the wind speed in Region B. To test the regions, the average wind speed is calculated for 90 days in each region. The mean wind speed in Region A is 13.8 miles per hour. Assume the population standard deviation is 2.7 miles per hour. The mean wind speed in Region B is 15.3 miles per hour. Assume the population standard deviation is 3.2 miles per hour. At a = 0.05, can the company support the researcher's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H, and H What is the claim? VA. The wind speed in Region A is less than the wind speed in Region B. O B. The wind speed in Region A is not greater than the wind speed in Region B. OC. The wind speed in Region A is the same as the wind speed in Region B. O D. The wind speed in Region A is not less than the wind speed in Region B. Let Region A be sample 1 and let Region B be sample 2. Identify H, and H- Ho: H1 2 2 (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are zo =. (Round to three decimal places as needed. Use a comma to separate answers as needed.)

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An energy company wants to choose between two regions in a state to install energy-producing wind turbines. A researcher claims that the wind speed in Region A is less than the wind speed in Region B. To test the regions, the average wind
speed is calculated for 90 days in each region. The mean wind speed in Region A is 13.8 miles per hour. Assume the population standard deviation is 2.7 miles per hour. The mean wind speed in Region B is 15.3 miles per hour. Assume the
population standard deviation is 3.2 miles per hour. At a = 0.05, can the company support the researcher's claim? Complete parts (a) through (d) below.
(a) Identify the claim and state Ho and Ha.
What is the claim?
A. The wind speed in Region A is less than the wind speed in Region B.
B. The wind speed in Region A is not greater than the wind speed in Region B.
C. The wind speed in Region A is the same as the wind speed in Region B.
D. The wind speed in Region A is not less than the wind speed in Region B.
Let Region A be sample 1 and let Region B be sample 2. Identify H, and Ha.
Ho: H1
H2
Ha: H1
<
H2
(b) Find the critical value(s) and identify the rejection region.
The critical value(s) is/are zo
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
Transcribed Image Text:An energy company wants to choose between two regions in a state to install energy-producing wind turbines. A researcher claims that the wind speed in Region A is less than the wind speed in Region B. To test the regions, the average wind speed is calculated for 90 days in each region. The mean wind speed in Region A is 13.8 miles per hour. Assume the population standard deviation is 2.7 miles per hour. The mean wind speed in Region B is 15.3 miles per hour. Assume the population standard deviation is 3.2 miles per hour. At a = 0.05, can the company support the researcher's claim? Complete parts (a) through (d) below. (a) Identify the claim and state Ho and Ha. What is the claim? A. The wind speed in Region A is less than the wind speed in Region B. B. The wind speed in Region A is not greater than the wind speed in Region B. C. The wind speed in Region A is the same as the wind speed in Region B. D. The wind speed in Region A is not less than the wind speed in Region B. Let Region A be sample 1 and let Region B be sample 2. Identify H, and Ha. Ho: H1 H2 Ha: H1 < H2 (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are zo (Round to three decimal places as needed. Use a comma to separate answers as needed.)
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